Question

This task takes up a part of the cycle with regard to hedging when doing mountain climbing / sports climbing. The fuse is based on a rope that is tied to the climber that goes via attachment points in the rock wall and to a rope brake that allows the fuse to control whether the rope is being released or slipping out. The rope used is elastic, while the mounting points in the wall are generally not / little elastic.

If the climber falls, he must not be subjected to greater catch pressure (braking force) than 12 kN. Assume that the length of the rope between the climber and the fuse (via attachment points in the wall) is 5 m and that the rope can be described by Hook's law (F = k(delta)x).

(b) What is the greatest value k can have to satisfy maximum catch pressure if the climber has mass m = 80 kg and falls 1.5 m before the rope begins to tighten?

Answer 1

B.) greatest value of spring constant will be

Kx = 12000

K( 5 - 1.5 ) = 12000

K = 3428.6 N/m Ans